0=x^2-495x+20250

Solution for 0=x^2-495x+20250 equation:

Simplifying
0 = x2 + -495x + 20250

Reorder the terms:
0 = 20250 + -495x + x2

Solving
0 = 20250 + -495x + x2

Solving for variable 'x'.

Combine like terms: 0 + -20250 = -20250
-20250 + 495x + -1x2 = 20250 + -495x + x2 + -20250 + 495x + -1x2

Reorder the terms:
-20250 + 495x + -1x2 = 20250 + -20250 + -495x + 495x + x2 + -1x2

Combine like terms: 20250 + -20250 = 0
-20250 + 495x + -1x2 = 0 + -495x + 495x + x2 + -1x2
-20250 + 495x + -1x2 = -495x + 495x + x2 + -1x2

Combine like terms: -495x + 495x = 0
-20250 + 495x + -1x2 = 0 + x2 + -1x2
-20250 + 495x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20250 + 495x + -1x2 = 0

Factor a trinomial.
(-450 + x)(45 + -1x) = 0

Subproblem 1
Set the factor '(-450 + x)' equal to zero and attempt to solve:

Simplifying
-450 + x = 0

Solving
-450 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '450' to each side of the equation.
-450 + 450 + x = 0 + 450

Combine like terms: -450 + 450 = 0
0 + x = 0 + 450
x = 0 + 450

Combine like terms: 0 + 450 = 450
x = 450

Simplifying
x = 450
Subproblem 2
Set the factor '(45 + -1x)' equal to zero and attempt to solve:

Simplifying
45 + -1x = 0

Solving
45 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-45' to each side of the equation.
45 + -45 + -1x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1x = 0 + -45
-1x = 0 + -45

Combine like terms: 0 + -45 = -45
-1x = -45

Divide each side by '-1'.
x = 45

Simplifying
x = 45
Solution
x = {450, 45}